5x+2=4(x-3)+7

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Solution for 5x+2=4(x-3)+7 equation: 


Simplifying
5x + 2 = 4(x + -3) + 7

Reorder the terms:
2 + 5x = 4(x + -3) + 7

Reorder the terms:
2 + 5x = 4(-3 + x) + 7
2 + 5x = (-3 * 4 + x * 4) + 7
2 + 5x = (-12 + 4x) + 7

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

Combine like terms: -12 + 7 = -5
2 + 5x = -5 + 4x

Solving
2 + 5x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 5x + -4x = -5 + 4x + -4x

Combine like terms: 5x + -4x = 1x
2 + 1x = -5 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + 1x = -5 + 0
2 + 1x = -5

Add '-2' to each side of the equation.
2 + -2 + 1x = -5 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -5 + -2
1x = -5 + -2

Combine like terms: -5 + -2 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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