2-7(2+x)=8(2x-5-4)+7

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Solution for 2-7(2+x)=8(2x-5-4)+7 equation:


Simplifying
2 + -7(2 + x) = 8(2x + -5 + -4) + 7
2 + (2 * -7 + x * -7) = 8(2x + -5 + -4) + 7
2 + (-14 + -7x) = 8(2x + -5 + -4) + 7

Combine like terms: 2 + -14 = -12
-12 + -7x = 8(2x + -5 + -4) + 7

Reorder the terms:
-12 + -7x = 8(-5 + -4 + 2x) + 7

Combine like terms: -5 + -4 = -9
-12 + -7x = 8(-9 + 2x) + 7
-12 + -7x = (-9 * 8 + 2x * 8) + 7
-12 + -7x = (-72 + 16x) + 7

Reorder the terms:
-12 + -7x = -72 + 7 + 16x

Combine like terms: -72 + 7 = -65
-12 + -7x = -65 + 16x

Solving
-12 + -7x = -65 + 16x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-16x' to each side of the equation.
-12 + -7x + -16x = -65 + 16x + -16x

Combine like terms: -7x + -16x = -23x
-12 + -23x = -65 + 16x + -16x

Combine like terms: 16x + -16x = 0
-12 + -23x = -65 + 0
-12 + -23x = -65

Add '12' to each side of the equation.
-12 + 12 + -23x = -65 + 12

Combine like terms: -12 + 12 = 0
0 + -23x = -65 + 12
-23x = -65 + 12

Combine like terms: -65 + 12 = -53
-23x = -53

Divide each side by '-23'.
x = 2.304347826

Simplifying
x = 2.304347826

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