Answer:
x = -1/5
Explanation:
*Steps as a proof*
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(-4x + 5)-(6x + 7) = 0
[given]
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1(-4x + 5)-1(6x + 7) = 0 [identity property of multiplication]
1(-4x + 5) + -1(6x + 7) = 0. [additive inverse property]
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1(-4x + 5) + -1(6x) + -1(7) = 0 [distributive property]
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(-4x + 5) + (-6x - 7) = 0 [multiplying anything by 1 is the same]
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(-4x + -6x) + (5 + -7) = 0 [associative property of addition]
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-4x + -6x + (5 + -7) = 0 [subtraction property of equality] - (5 + -7). - (5 + -7)
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-4x + -6x = -(5 + -7) [simplification]
-4x + 6x = -1(5 + -7) [identity property of multiplication]
-4x + -6x = -1(5) + -1(-7) [distributive property]
-4x + -6x = -5 + 7 [simplification]
-4x + -6x = 2 [simplification]
-10x = 2 [division property of equality]
÷10 ÷10
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-x = 2/10 [negative one property of multiplication]
×-1 ×-1
x = -2/10 [simplification]
x = -1/5 [simplification]
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