4(x+1)-3=2(x-4)+7

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Solution for 4(x+1)-3=2(x-4)+7 equation: 


Simplifying
4(x + 1) + -3 = 2(x + -4) + 7

Reorder the terms:
4(1 + x) + -3 = 2(x + -4) + 7
(1 * 4 + x * 4) + -3 = 2(x + -4) + 7
(4 + 4x) + -3 = 2(x + -4) + 7

Reorder the terms:
4 + -3 + 4x = 2(x + -4) + 7

Combine like terms: 4 + -3 = 1
1 + 4x = 2(x + -4) + 7

Reorder the terms:
1 + 4x = 2(-4 + x) + 7
1 + 4x = (-4 * 2 + x * 2) + 7
1 + 4x = (-8 + 2x) + 7

Reorder the terms:
1 + 4x = -8 + 7 + 2x

Combine like terms: -8 + 7 = -1
1 + 4x = -1 + 2x

Solving
1 + 4x = -1 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
1 + 4x + -2x = -1 + 2x + -2x

Combine like terms: 4x + -2x = 2x
1 + 2x = -1 + 2x + -2x

Combine like terms: 2x + -2x = 0
1 + 2x = -1 + 0
1 + 2x = -1

Add '-1' to each side of the equation.
1 + -1 + 2x = -1 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = -1 + -1
2x = -1 + -1

Combine like terms: -1 + -1 = -2
2x = -2

Divide each side by '2'.
x = -1

Simplifying
x = -1

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